18932854416100 has 81 divisors (see below), whose sum is σ = 43362325727931. Its totient is φ = 7174242072000.

The previous prime is 18932854416097. The next prime is 18932854416101. The reversal of 18932854416100 is 161445823981.

The square root of 18932854416100 is 4351190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4532104507876 + 14400749908224 = 2128874^2 + 3794832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18932854416101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 826714650 + ... + 826737550.

Almost surely, 2^{18932854416100} is an apocalyptic number.

18932854416100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18932854416100 is the 4351190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18932854416100

18932854416100 is an abundant number, since it is smaller than the sum of its proper divisors (24429471311831).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18932854416100 is an frugal number, since it uses more digits than its factorization.

18932854416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45854 (or 22927 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 18932854416100 in words is "eighteen trillion, nine hundred thirty-two billion, eight hundred fifty-four million, four hundred sixteen thousand, one hundred".